Trigonometry Examples Simplifying Trigonometric Expressions

Find the Exact Value

Step 1
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.
Step 2
The exact value of is .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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Simplifying Trigonometric Expressions

More step-by-step Trigonometry examples from this chapter.

Finding the Value Using the Unit Circle Expanding Trigonometric Expressions Expanding Using Double-Angle Formulas Expanding Using Triple-Angle Formulas Expanding Using Sum/Difference Formulas Simplify Using Pythagorean Identities Simplify by Converting to Sine/Cosine Inverting Trigonometric Expressions Finding the Trig Value of an Angle Expanding Using De Moivre's Theorem

How to Use Step-by-Step Examples

1
Read the worked problem
Each example starts from a real Trigonometry problem and shows the rule or formula it relies on.
2
Follow every step
Work through the solution line by line. Underlined terms open a glossary definition.
3
Solve your own problem
Enter a similar problem in the Trigonometry solver to get the answer with steps.

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